基于黎曼度量参数曲面四边形网格生成方法及UG 实现

论文给出了基于黎曼度量的参数曲面网格生成的改进铺砖算法。阐述了曲 面自身的黎曼度量，并且运用黎曼度量计算二维参数域上单元节点的位置，从而使映射到三 维物理空间的四边形网格形状良好。文中对原有铺砖法相交处理进行了改进，在运用铺砖法 的同时调用UG-NX 强大的二次开发库函数获取相应的信息，直接在UG-NX 模型的表面生 成四边形网格。算例表明，该法能在曲面上生成质量好的网格。

Surface quadrilateral mesh generation based on Riemannian metric and itsimplementation in UG-NX

An improved paving algorithm based on the Riemannian metric is proposed for the mesh generation in the parametric surface. To obtain fine mesh in 3D space, the locations of the corresponding points in 2D parametric space are calculated using the Riemannian metric. Some improvements on the intersection disposal in the paving method are made. The improved method is implemented to generate quadrilateral mesh on surfaces of a solid model, which is constructed by UG-NX. In this implementation, geometric data of the solid model are obtained through functions from the function library in UG\OPEN API. Examples indicate that surface mesh with high quality can be generated by our method.